Question 1: Write down the first five perfect squares.

Answer: 1, 4, 9, 16, 25

Question 2: Calculate 12².

Answer: 144

Question 3: Which of the following is NOT a perfect square? (a) 81 (b) 100 (c) 125 (d) 144

Answer: 125

Question 4: Construct a square with side length 13 units on the grid. What is its area?

Answer: 169

Question 5: Write the perfect square for 15².

Answer: 225

Question 6: Explain why 125 is not a perfect square.

Answer: Because 125 is not the product of an integer multiplied by itself; its prime factors are 5×5×5, which is not a perfect square.

Question 7: Plot the graph of y = x² for x = 1 to 15 on the grid.

Answer: Students will draw the parabola with points at (1,1), (2,4), (3,9), ..., (15,225).

Question 8: If a square has an area of 144, what is the length of its side?

Answer: 12

Question 9: Identify and correct the mistake: 11² = 121, but 12² = 130.

Answer: Incorrect; 12² = 144. The mistake is in the calculation of 12².

Question 10: Find the difference between 15² and 10².

Answer: 225 - 100 = 125

Question 11: Determine whether the statement 'All perfect squares end with an odd number' is true or false. Explain your reasoning.

Answer: False; some perfect squares end with an even digit, e.g., 16 or 36.